MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS

Olga Paraskevopulo; Aleksey I. Sazonov; Olga Kozlova; Aleksandra S. Borec

doi:10.55186/2413046X_2025_10_9_208

VAK Russia 5.2.1 UDC 330.43

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MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS

Published in MOSCOW ECONOMIC JOURNAL · Volume 10, Issue 9 · Pages 50–69 · Rubric: Economic theory

DOI: https://doi.org/10.55186/2413046X_2025_10_9_208

Received: 14.09.2025 Accepted: 02.10.2025 Published: 02.10.2025

Authors

Olga Paraskevopulo

Aleksey I. Sazonov

Olga Kozlova

Aleksandra S. Borec

Olga Paraskevopulo

Academic degree: candidate of physical and mathematical sciences

Federal state budget educational institution of higher education «MIREA — Russian technological university» associate professor · department of higher mathematics - 3 · Russian Federation · Moscow

Aleksey I. Sazonov

Academic degree: candidate of technical sciences

Federal State Budgetary Educational Institution of Higher Education "MIREA – Russian Technological University" Associate Professor · Department of Higher Mathematics · Russian Federation · Moscow

Olga Kozlova

Academic degree: candidate of technical sciences

Aleksandra S. Borec

Federal State Budgetary Educational Institution of Higher Education "MIREA – Russian Technological University" Assistant · Department of Higher Mathematics · Russian Federation · Moscow

ABSTRACT

In the course of the research work, a specialized tool package was developed in the form of software and mathematical support, designed to calculate the reliability indicators of technological equipment in the presence of a structural element with reduced reliability (weak reliability node – SNU). The methodological basis of the approach is the assumption that the reliability indicators of a given node are deterministic for assessing the reliability of the equipment as a whole. The developed software product, which uses the principles of probabilistic statistical modeling (Monte Carlo method), provides a functional opportunity to generate representative samples of operating time for failure of the required volume. The approbation of the methodology and algorithmic implementation allowed us to formulate practical recommendations on the use of the toolkit. The created software tool is a development of existing reliability analysis systems for multicomponent technical systems. Its integration into this software package allows for a comprehensive assessment of the reliability characteristics of technological equipment for various functional purposes in a joint accounting mode for both the multicomponence of the structure and the presence of reliability-critical elements.

KEYWORDS

reliability indicators, technological equipment, Monte Carlo method

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Aleksandr Fomin

e-science@list.ru

Publishing editor

Ekaterina Syamina

e-science@list.ru

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GOST

Paraskevopulo O. R., Sazonov A. I., Kozlova O. Y., Borec A. S. MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS // MOSCOW ECONOMIC JOURNAL. 2025. no. 9. pp. 50-69. DOI: https://doi.org/10.55186/2413046X_2025_10_9_208. (Date of access 10.10.2026).

MLA

Olga Paraskevopulo, Sazonov A. I., Kozlova O. Y., Borec A. S.. "MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS." MOSCOW ECONOMIC JOURNAL 10.9 (2025): 50-69. DOI: https://doi.org/10.55186/2413046X_2025_10_9_208.

APA

Paraskevopulo O. R., Sazonov A. I., Kozlova O. Y., Borec A. S. (2025). MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS. MOSCOW ECONOMIC JOURNAL, 10(9), 50-69. https://doi.org/10.55186/2413046X_2025_10_9_208

Chicago

Olga Paraskevopulo, Sazonov A. I., Kozlova O. Y., Borec A. S.. "MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS." MOSCOW ECONOMIC JOURNAL 10, no. 9 (2025): 50-69. https://doi.org/10.55186/2413046X_2025_10_9_208.

WIKI

{{cite journal | author = Paraskevopulo O. R., Sazonov A. I., Kozlova O. Y., Borec A. S. | title = MATHEMATICAL TOOLS FOR CALCULATING EQUIPMENT RELIABILITY INDICATORS | journal = MOSCOW ECONOMIC JOURNAL | year = 2025 | volume = 10 | issue = 9 | pages = 50-69 | doi = 10.55186/2413046X_2025_10_9_208 }}

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